## DESCRIPTION
## Integral calculus: Answer blanks in the limits of integration
## ENDDESCRIPTION

## KEYWORDS('Integrals', 'answer blanks in limits of integration')

## DBsubject('WeBWorK')
## DBchapter('WeBWorK Tutorial')
## DBsection('Fort Lewis Tutorial 2011')
## Date('10/20/2010')
## Author('Paul Pearson')
## Institution('Fort Lewis College')
## TitleText1('')
## EditionText1('')
## AuthorText1('')
## Section1('')
## Problem1('')


###############################
#  Initialization

DOCUMENT();

loadMacros(
"PGstandard.pl",
"MathObjects.pl",
"PGunion.pl",
"answerHints.pl",
);

TEXT(beginproblem());


################################
#  Setup
 
Context("Numeric");
Context()->variables->are(
x=>"Real", dx=>"Real",
t=>"Real", dt=>"Real"
);

$fpx = Formula("sin(x)"); 
$fpt = Formula("sin(t)");   


#
#  Display the answer blanks properly in different modes
#
Context()->texStrings;
if ($displayMode eq 'TeX') {
   $integral =
   '\(\displaystyle f(x) = '.
   ans_rule(4). 
   '+ \int_{t = '. 
   ans_rule(4). 
   '}^{t = '. 
   ans_rule(4).
   '}'. 
   ans_rule(20).
   '\)';
  } else {
   $integral =
   BeginTable(center=>0).
     Row([
       '\(f(x)=\)'.$SPACE.ans_rule(4).$SPACE.'\(+\displaystyle\int\)',
       '\( t = \)'.ans_rule(4).$BR.$BR.'\( t = \)'.ans_rule(4),
       ans_rule(20)],separation=>2).
   EndTable();
}
Context()->normalStrings;


#####################################
#  Main text

Context()->texStrings;
BEGIN_TEXT
Find a formula for the function \(f(x)\) such that 
\( \displaystyle f'(x)= $fpx \) and \( f(2)=5 \).
$BR
$BR
$integral
END_TEXT
Context()->normalStrings;


#####################################
#  Answer Evaluation

$showPartialCorrectAnswers = 1;

ANS( Compute("5")->cmp() );
ANS( Compute("x")->cmp() );
ANS( Compute("2")->cmp() );
ANS( Compute("$fpt * dt")->cmp()
->withPostFilter(AnswerHints( 
  Formula("$fpx") => "Are you using the correct variable?",
  Formula("$fpx*dx") => "Are you using the correct variable?",
  Formula("$fpt") => "Don't forget the differential dt", 
))
);


#####################################
#  Solution

Context()->texStrings;
BEGIN_SOLUTION
${PAR}SOLUTION:${PAR}
Solution explanation goes here.
END_SOLUTION
Context()->normalStrings;


COMMENT('MathObject version');

ENDDOCUMENT();